{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# 主成分分析 (PCA)"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "source": [
    "import sys\n",
    "from pathlib import Path\n",
    "curr_path = str(Path().absolute()) # 当前文件所在绝对路径\n",
    "parent_path = str(Path().absolute().parent) # 父路径\n",
    "sys.path.append(parent_path) # 添加路径到系统路径\n",
    "\n",
    "from Mnist.load_data import load_local_mnist\n",
    "\n",
    "from sklearn.decomposition import PCA\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "(X_train, y_train), (X_test, y_test) = load_local_mnist(normalize = False,one_hot = False)\n",
    "m , p = X_train.shape # m：训练集数量，p：特征维度数"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "source": [
    "print(f\"原本特征维度数：{p}\") # 特征维度数为784"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "原本特征维度数：784\n"
     ]
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "source": [
    "# n_components是>=1的整数时，表示期望PCA降维后的特征维度数\n",
    "# n_components是[0,1]的数时，表示主成分的方差和所占的最小比例阈值，PCA类自己去根据样本特征方差来决定降维到的维度\n",
    "model = PCA(n_components=0.95) \n",
    "lower_dimensional_data = model.fit_transform(X_train)"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "source": [
    "print(f\"降维后的特征维度数：{model.n_components_}\")"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "降维后的特征维度数：154\n"
     ]
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "source": [
    "approximation = model.inverse_transform(lower_dimensional_data) # 降维后的数据还原\n",
    "plt.figure(figsize=(8,4));\n",
    "\n",
    "# 原始图片\n",
    "plt.subplot(1, 2, 1);\n",
    "plt.imshow(X_train[1].reshape(28,28),\n",
    "              cmap = plt.cm.gray, interpolation='nearest',\n",
    "              clim=(0, 255));\n",
    "plt.xlabel(f'{X_train.shape[1]} components', fontsize = 14)\n",
    "plt.title('Original Image', fontsize = 20)\n",
    "# 降维后的图片\n",
    "plt.subplot(1, 2, 2);\n",
    "plt.imshow(approximation[1].reshape(28, 28),\n",
    "              cmap = plt.cm.gray, interpolation='nearest',\n",
    "              clim=(0, 255));\n",
    "plt.xlabel(f'{model.n_components_} components', fontsize = 14)\n",
    "plt.title('95% of Explained Variance', fontsize = 20)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {}
    },
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {}
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "# 不同主成分个数对应的可解释方差分析(Explained Variance)"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "source": [
    "model = PCA() # 这里需要分析所有主成分，所以不降维\n",
    "model.fit(X_train)\n",
    "tot = sum(model.explained_variance_) \n",
    "var_exp = [(i/tot)*100 for i in sorted(model.explained_variance_, reverse=True)] \n",
    "cum_var_exp = np.cumsum(var_exp)\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.step(range(1, p+1), cum_var_exp, where='mid',label='cumulative explained variance') # p：特征维度数\n",
    "plt.title('Cumulative Explained Variance as a Function of the Number of Components')\n",
    "plt.ylabel('Cumulative Explained variance')\n",
    "plt.xlabel('Principal components')\n",
    "plt.axhline(y = 95, color='k', linestyle='--', label = '95% Explained Variance')\n",
    "plt.axhline(y = 90, color='c', linestyle='--', label = '90% Explained Variance')\n",
    "plt.axhline(y = 85, color='r', linestyle='--', label = '85% Explained Variance')\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {}
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "source": [
    "\n",
    "def explained_variance(percentage, images): \n",
    "    '''\n",
    "       :param: percentage [float]: 降维的百分比\n",
    "       :return: approx_original: 降维后还原的图片\n",
    "       :return: model.n_components_: 降维后的主成分个数\n",
    "    '''   \n",
    "    model = PCA(percentage)\n",
    "    model.fit(images)\n",
    "    components = model.transform(images)\n",
    "    approx_original = model.inverse_transform(components)\n",
    "    return approx_original,model.n_components_\n",
    "plt.figure(figsize=(8,10));\n",
    "percentages = [1,0.99,0.95,0.90]\n",
    "for i in range(1,5):\n",
    "    plt.subplot(2,2,i)\n",
    "    im, n_components = explained_variance(percentages[i-1], X_train)\n",
    "    im = im[5].reshape(28, 28) # 重建成图片\n",
    "    plt.imshow(im,cmap = plt.cm.gray, interpolation='nearest',clim=(0, 255))\n",
    "    plt.xlabel(f'{n_components} Components', fontsize = 12)\n",
    "    if i==1:\n",
    "        plt.title('Original Image', fontsize = 14)\n",
    "    else:\n",
    "        plt.title(f'{percentages[i-1]*100}% of Explained Variance', fontsize = 14)\n",
    "plt.show()\n"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x1000 with 4 Axes>"
      ]
     },
     "metadata": {}
    }
   ],
   "metadata": {}
  }
 ],
 "metadata": {
  "orig_nbformat": 4,
  "language_info": {
   "name": "python",
   "version": "3.7.11",
   "mimetype": "text/x-python",
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "pygments_lexer": "ipython3",
   "nbconvert_exporter": "python",
   "file_extension": ".py"
  },
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3.7.11 64-bit ('py37': conda)"
  },
  "interpreter": {
   "hash": "42c9bd6a7bb2602a627a03adc5d7029ff8a60f7e68b58a1beb81d0b4574fea3d"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}